there are 35 students in art class and 57 students in dance class. Find the number of students who are either in art class or in dance class​

Answers

Answer 1

Answer:

hope it helps you

Step-by-step explanation:

Let

A be the set of students in art class

B be the set of students in dance class

n(A) = 35    

n(B) = 57      

a) When 2 classes meet at different hours and n(A ∩ B) = 12 we have:

n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = 35 + 57 - 12 = 80

b) When two classes meet at the same hour we have A∩B = ∅ that is n(A ∩ B) = 0 and

n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = n(A) + n(B)  = 35 + 57 = 92


Related Questions

A model rocket is launched from the top of a building. The height (in meters) of the rocket above the ground is given by h( t) = -16t2 + 96t + 14, where t is the time (in seconds) since the rocket was launched. What is the rocket’s maximum height and when does this occur.

Answers

Answer:

158 meters (vertex/max point)

Step-by-step explanation:

Which angles are coreesponding angles?

Answers

Answer:

PQN and MNL

Step-by-step explanation:

A corresponding angle is an angle that occupies the same relative position of another angle on a straight line. If they are parallel then they are corresponding.

Pqn- mnl correspond it’s correct ^

I NEED HELPPP THIS DUE TODAY!!!! IT IS URGENT!!

Answers

Answer:

I   t   s      t   o   o      g   r   o   s   s

5 2  4      2  1    1       3  6   1   4   4

Step-by-step explanation:

Im pretty sure that's the answer

someone help it’s due in a couple of min

Answers

Answer: A $5800

Step-by-step explanation:

His parents cover 9100+ the scholarship for 3300=12400

Using the approximation 3.14 for (pie symbol ​, what is the radius of a circle with a circumference of 59.7

​m?

Answers

Here is my answer for your question

4. How many ones is in the number 500? *
(10 Points)
500 ones
50 ones
5 ones

Answers

Answer:

500 ones hope this helps

i had 6 cupcakes two days ago, and 9 yesterday. help me continue this pattern. thank you.

Answers

Answer:

its adding 3

Step-by-step explanation:

So if you had 6 cupcake two days ago, than yesterday there was 9, so tomorrow you should have 12 cupcake and so on

The requried pattern of cupcakes is given by adding 3 cupcakes each day and the pattern comes out as 6, 9, 12, 15, 18, 21, and so on for the subsequent day.

What is a sequence?

The sequence is a pattern of placing the values in a specified manner.

Here,
Assuming that the pattern is to add 3 cupcakes each day, the continuation of the pattern would be:

Two days ago: 6 cupcakes

Yesterday: 9 cupcakes

Today: 12 cupcakes

Tomorrow: 15 cupcakes

Day after tomorrow: 18 cupcakes

In five days: 21 cupcakes

And so on, the pattern would continue adding 3 cupcakes for each subsequent day.

Learn more about the sequence here:
https://brainly.com/question/21961097

#SPJ2

The given quesiton is incomplete, the complete question s given below,


I had 6 cupcakes two days ago, and 9 yesterday. Assume it to be series. What will be the number of cupcakes that I will have two days from today??

how do i check 11z-5=9z+7

Answers

Answer:

z= 6

Step-by-step explanation:

You check it by plugging the value, z, into the equation.

11(6)-5=9(6)+7

61=61

Answer:

z=6

Step-by-step explanation:

11z-9z=7+5

2z=12

z=6

Started business whit cash Rs 250000 and Machinery Rs 200000
Accounting equation ​

Answers

[tex]\huge\purple{Answer}[/tex]

In case there is no double entry system is followed, profit can be calculated by comparing the opening and closing capital. In the given situation this can be calculated as:

Opening Capital Rs.200000

Add: Capital Introduced Rs.200000

Add: Profit for the year Rs. 250000

Less: Loss for the year Rs.NIL

Less: Drawings Rs. 30000

--------------------

Capital at the end of the year Rs.620000

-------------------

Loan taken is a liability and loan given is asset, that will not affect the capital.

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I need help plzzzzzz

Answers

Answer:

...................................

Step-by-step explanation:...................................

Mr. Jones has to invest in three types of​ stocks, low-risk,​ medium-risk, and​ high-risk. He invests according to three principles. The amount invested in​ low-risk stocks will be at most more than the amount invested in​ medium-risk stocks. At least will be invested in​ low- and​ medium-risk stocks. No more than will be invested in​ medium- and​ high-risk stocks. The expected yields are ​% for​ low-risk stocks, ​% for​ medium-risk stocks, and ​% for​ high-risk stocks. How much money should Mr. Jones invest in each type of stock to maximize his total expected​ yield?

Answers

Answer:

Since the numbers are missing, I looked for a similar question:

Mr. Jones has $9000 to invest in three types of stocks: low-risk, medium-risk and high-risk. He invests according to the following rules: the amount invested in low-risk stocks will be at most $1000 more than the amount invested in medium-risk stocks. At least $7000 will be invested in a combination of low- and medium-risk stocks. No more than $7000 will be invested in a combination of medium- and high-risk stocks. The expected annual returns are 6% for low-risk stocks, 7% for medium-risk stocks, and 8% for high-risk stocks. How much should he invest in each type of stock to maximize his total expected yield?

let:

L = low risk stocks

M = medium risk stocks

H = high risk stocks  

maximize 0.06L + 0.07M + 0.08H

L + M + H ≤ 9000

L ≥ M + 1000

L + M ≥ 7000

M + H ≤ 7000

using solver, the optimal solution = 4,000L + 3,000M + 2,000H , which yields a maximum profit = $610

Mr. Jones should invest $4,000 in low risk stocks, $3,000 in medium risk stocks and $2,000 in high risk stocks.

The manager of the BiLo Supermarket in Mt. Pleasant, Rhode Island, gathered the following information on the number of times a customer visits the store during a month. The responses of 51 customers were: 5 3 3 1 4 4 5 6 4 2 6 6 6 7 1 1 14 1 2 4 4 4 5 6 3 5 3 4 5 6 8 4 7 6 5 9 11 3 12 4 7 6 5 15 1 1 10 8 9 2 12 a. Starting with 0 as the lower limit of the first class and using a class interval of 3, organize the data into a frequency distribution. b. Where do the data tend to cluster? 12 up to 15 15 up to 18 3 up to 6 6 up to 9 0 up to 3 9 up to 12 c. Convert the distribution to a relative frequency distribution. (Round your answers to 2 decimal places.)

Answers

Answer: kindly check explanation

Step-by-step explanation:

Given the data :

5 3 3 1 4 4 5 6 4 2 6 6 6 7 1 1 14 1 2 4 4 4 5 6 3 5 3 4 5 6 8 4 7 6 5 9 11 3 12 4 7 6 5 15 1 1 10 8 9 2 12

Frequency and relative frequency table can be found in the attachment below.

b. Where do the data tend to cluster?

3 up to 6

HELP ME ASAP!!
How many ways can four freshmen be chosen from eighteen to be members of the leadership board?

Answers

Answer:

trying your best I would say

hope this helps

Brainliest is given if the answer's correct!


A box has a volume of 6750 cubic inches, a length of 25 inches, and a height of 15 inches. What is the width of the box in inches?

Answers

Answer:

18 inches

Step-by-step explanation:

Length x width x height = volume

25in  x  W x 15in = 6750 cubic inches

375 sq inches x W = 6750 cubic inches

W = 18 inches

What is the ratio of 3 inches to 20 feet

Answers

Answer:

1/80

Step-by-step explanation:

Answer:

3 inches is 1/4th of one foot so to 20 ft is 1/80th

Step-by-step explanation:

Remember, 12 in.=1 FT

Hope this helps

;)

Find the slopes of the linear functions.
y = -2x + 7
The slope of the line given by the linear equation is
ty
The slope of the line shown in the graph is
4
-8
4

Answers

Answer:

The slope of the line given by the linear equation is -2

The slope of the line shown in the graph is -1

Step-by-step explanation:

The line equation, y = -2x + 7 is written in the slope-intercept form, which is represented by the formula, y = mx + b.

m is the slope, while b is the y-intercept.

Therefore, the slope of the line of the linear equation, y = -2x + 7 is -2.

Find the slope of the line shown in the graph using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].

Use the coordinates of any two points on the line. Let's use (0, 5) and (5, 0)

Let,

[tex] (0, 5) = (x_1, y_1) [/tex]

[tex] (5, 0) = (x_2, y_2) [/tex]

[tex] m = \frac{0 - 5}{5 - 0} = \frac{-5}{5} = -1 [/tex]

Therefore:

The slope of the line given by the linear equation is -2

The slope of the line shown in the graph is -1

Help
PLZ HELP I’m begging u

Answers

Answer:

Since this is a proportional relationship,

We know that the number which are proportional are a multiple of each other

the number which we can multiply one of the numbers to get the other number is the constant of proportionality

we could check for proportionality by using the following formula:

p1 / s1 = p2/s2 = p3/s3 = p4/s4  if they were equal, we can say that the relation is proportional

The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality

Therefore, the constant of proportionality = 20 / 5 = 4

Answer:

Since this is a proportional relationship,

We know that the number which are proportional are a multiple of each other

the number which we can multiply one of the numbers to get the other number is the constant of proportionality

we could check for proportionality by using the following formula:

p1 / s1 = p2/s2 = p3/s3 = p4/s4  if they were equal, we can say that the relation is proportional

The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality

Therefore, the constant of proportionality = 20 / 5 = 4

write and equation to solve for x your only writing the equation will mark brainiest I've got five more questions to go if anybody can help me I give high points 3x +10 3x-28 there's 2 answers 3x+10=3x-28 or 3x+10+3x-28=180 please help 3 questions left​

Answers

Answer:

3x + 10 + 3x - 28 = 180

Step-by-step explanation:

the equation is 3x + 10 + 3x - 28 = 180

What is -0.3 x -10/13

Answers

3/13 if I’m not mistaking or 0.23
In my opinion I think it is 3/13

What is the probability that a randomly chosen male voter is a registered Democrat? Round your answer to the nearest tenth of a percent.

Answers

Answer:

49%

Step-by-step explanation:

Well, you would just divide the "male democrat" category and the "male total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:

[tex]\frac{600}{1222}=0.49[/tex]

Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:

49%

What is the total price of 3.2 pounds of apples at 80¢ per pound?

Answers

Answer:

$2.56

Step-by-step explanation:

80x3 = 240

80x.2=16

240+12=256

$2.56

what is the range of this function?​

Answers

Answer:

13,13,10,-15

Step-by-step explanation:

help, fill in the bottom row, i’ll give you brainiest.

Answers

Answer:

3, 3, 3, 3

Step-by-step explanation:

they all equal three

Answer:

a=3 b=3 c=3 d=3

Step-by-step explanation:

Valeria is training for a marathon. She jogs the same 15 mile route twice in one week. On Monday, she jogged the route in 1.75 hours. Thursday, she tried to improve her speed. She jogged the same route in 1.63 hours. Her smart watch said her rate on Monday was 8.57 miles per hour. She forgot to set the smart watch to calculate her rate on Thursday. Use the information you have to calculate how fast she was running on Thursday.

Answers

Answer:

9.20 miles per hour

Step-by-step explanation:

Given data

distance of the route = 15miles

time taken on Monday= 1.75hours

speed= distance./time

speed= 15/1.75

speed= 8.57 miles per hour

her smart watch is correct

time taken on Thursday= 1.63hours

speed= distance./time

speed= 15/1.63

speed= 9.20 miles per hour

she was jogging at 9.20 miles per hour

             

A box has 3 oranges and 5 lemons of the same size in a basket, find the probability of randomly picking an orange from the basket?​

Answers

I think is 3 out of 8. I hope you get it right if this is right

To find the probability of any event,

A.) add up the probabilities of the outcomes that make up the event.

B.) use the probability of the outcome that best approximates the event.

C.) assign it a random, but plausible value between 0 and 1.

D.) average together the personal probabilities of several experts.

Answers

Answer:

D

Step-by-step explanation:

I just know it plz mark me Brainlyist

A superstar major league baseball player just signed a new deal that pays him a record amount of money. The star has driven in an average of 110 runs over the course of his career, with a standard deviation of 31 runs. An average player at his position drives in 80 runs. What is the probability the superstar bats in fewer runs than an average player next year

Answers

Answer:

0.1667

Step-by-step explanation:

Given that:

Average / mean runs (m) = 110 runs

Standard deviation (σ) = 31 runs

Number of runs driven in by an average player in his position = 80

The probability the superstar bats in fewer runs than an average player next year will be the :

P(x < 80)

Zscore = (x - mean) / σ

Zscore = (80 - 110) / 31

Zscore = - 30 / 31

Zscore = - 0.9677419

P(Z < 0.9677419) = 0.1666 ( from z probability calculator)

= 0.1667

Order set of numbers from least to greatest
3/4, 0.72%, 69%, .63

Answers

.63 , 69% , 0.72% , 3/4

.63 is the least

.69 is second least

.72 is the third least

3/4 (.75) is the greatest

Answer:

Step-by-step explanation:

0.72%, .63= 63%, 69%, 3/4

James paid $42 for 6 lb of chocolate how much does the chocolate cost per pound

Answers

Answer:

7$ gimme brainliest

Step-by-step explanation:

Answer: 7 pounds

Step-by-step explanation:

42/6=7

What does “each point of a line maps to itself” mean? I don’t understand it what it means for it to map to itself.

Answers

Can u show me the graph or map your talkin about
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